When approximating the value of a solution curve by taking a single tangent-line step…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

When approximating the value of a solution curve by taking a single tangent-line step from an initial point

(x_0,y_0)

, which quantity must be chosen IN ADVANCE before any calculation can begin? (a) the next

x

–value

x_1

(b) the step size

h

n

to be used (d) the initial slope

\bigl(\tfrac{dy}{dx}\bigr)_{(x_0,y_0)}